The generator matrix

 1  0  0  0  1  1
 0  1  0  0  2  5
 0  0  1  0  3  1
 0  0  0  1  1  2

generates a code of length 6 over Z8 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+96x^3+279x^4+1056x^5+1232x^6+1056x^7+279x^8+96x^9+1x^12

The gray image is a code over GF(2) with n=24, k=12 and d=6.
This code was found by Heurico 1.16 in 0.00596 seconds.